On a stationary Schrödinger equation with periodic magnetic potential

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作者
Pascal Bégout
Ian Schindler
机构
[1] Université Toulouse I Capitole,Institut de Mathématiques de Toulouse and TSE
关键词
Stationary Schrödinger equation; Periodic magnetic potential; Weak solution; Cocompactness; 35Q55 (35A01, 35D30);
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摘要
We prove existence results for a stationary Schrödinger equation with periodic magnetic potential satisfying a local integrability condition on the whole space using a critical value function.
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